Answer: 1513.
Step-by-step explanation:
This is just another way to write subtraction! So just write it as a subtraction problem.
1576-63 = 1513 ^^
What
????????????????????
Answer:
Step-by-step explanation:
The formula you will need for this is:
where A is the amount after some decay has happened, A₀ is the intial amount, t is the time in hours, and H is the half-life in hours. Those values for us are:
A = 2 g
A₀ = 25 g
H = 4.95 hrs and
t = ?
Filling in:
Keep in mind that, because of the nature of the exponential form of this equation, you CANNOT simply multiply the 25 by the 1/2. Exponential equations don't work that way. Begin instead by dividing both sides by 25 to get
The goal is to get that t out from its exponential position. Do that by taking the natural log of both sides:
After you take the natural log of the right side, the property allows you to bring the exponent down out front:
Now divide both sides by ln(.5) to get
Simplify the left side out on your calculator to get
and then divide:
Finally, multiply both sides by 4.95 to get
3.643856(4.95) = t so
t = 18.0 hours which is choice C
Answer:
8 m, 17 m and 22 m
Step-by-step explanation:
The first side is x
The second is 1 more than twice the first = 2x + 1
The third is 2 less than 3 times the first = 3x - 2
Sum the 3 sides and equate to 47
x + 2x + 1 + 3x - 2 = 47, that is
6x - 1 = 47 ( add 1 to both sides )
6x = 48 ( divide both sides by 6 )
x = 8
Thus
side 1 = 8 m
side 2 = 2x + 1 = 2(8) + 1 = 16 + 1 = 17 m
side 3 = 3x - 2 = 3(8) - 2 = 24 - 2 = 22 m
